Disgruntledstudent Disgruntledstudent
  • 02-05-2019
  • Mathematics
contestada

How to simplify the square root of 3 over the square root of 21

Respuesta :

LammettHash
LammettHash LammettHash
  • 02-05-2019

3 * 7 = 21, so

[tex]\sqrt{21}=\sqrt{3\cdot7}=\sqrt3\sqrt7[/tex]

Then

[tex]\dfrac{\sqrt3}{\sqrt{21}}=\dfrac1{\sqrt7}[/tex]

and you can rationalize the denominator to write this as

[tex]\dfrac1{\sqrt7}\cdot\dfrac{\sqrt7}{\sqrt7}=\dfrac{\sqrt7}7[/tex]

Answer Link
angie823
angie823 angie823
  • 02-05-2019

answer: √3⋅√21 = 3√7

Answer Link

Otras preguntas

What's the answer????
Where is the concentration of sunlight the greatest? A. The equator B. The South Pole C. The horse latitudes D. The North Pole
The internal rate of return of a project is the discount rate at which npv is? ( a. positive ( b. negative ( c. zero ( d. negative minus positive
when was benjermen Franklin born
Mr. Stanton bought 121 feet of rope to repair a rope bridge. The ratio of the two pieces that he needs from the length he bought is 4 to 7. If he uses the entir
What was the major reason for Napoleon's defeat during his invasion of Russia in 1812?
there is a 5% sales tax on clothing at your favorite store you've gone shopping 4 times how much tax did you pay each time ?
State two applications of plane mirrors
helppp mee You walk into a restaurant. In the room there are 10 people who are 21 years old , 3 people are 26 years old 7 people are 29 years old and 9 people w
Latin American revolutions during the early nineteenth century were MOST LIKELY inspired by the French Revolution and the A) Cuban Revolution. B) Russian Revo